How much of an issue is money, really? If it's that big of an issue, I suggest you forget a swap completely; Start saving and buy a MKIII already equipped with a turbo'd engine. Speaking from personal experience and from watching others go through it a properly done swap will often cost as much or more than you may be able to find an already complete car for AND there's also the down time and labor to consider. Save the money, buy a healthy car that suits you needs/wants and then use your muscle to upgrade that.
As for which engine.... I like them all, but a 7M-GTE is usually the least expensive to swap in.
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